Field Theory on Noncommutative Spacetimes: Quasiplanar Wick Products

Details Field Theory on Noncommutative Spacetimes: Quasiplanar Wick Products Field Theory on Noncommutative Spacetimes: Quasiplanar Wick Products

2004-08-26

arxiv.org/abs/hep-th/0408204v3

Phys.Rev.D71:025022,2005

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 2 figures, v2: minor changes, v3: minor changes, reference added

Scientific paper

10.1103/PhysRevD.71.025022

We give a definition of admissible counterterms appropriate for massive quantum field theories on the noncommutative Minkowski space, based on a suitable notion of locality. We then define products of fields of arbitrary order, the so-called quasiplanar Wick products, by subtracting only such admissible counterterms. We derive the analogue of Wick's theorem and comment on the consequences of using quasiplanar Wick products in the perturbative expansion.

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